MATH141 9.7-9.8 Webassign
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University of Maryland *
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141
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Mathematics
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Feb 20, 2024
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1. [-/0.7 Points] DETAILS Choose all appropriate answers: and this follows from: s 1on-2 the Ratio Test the Root Test 2. [-/0.7 Points] DETAILS Choose all appropriate answers: diverges and this follows from: <17 lim — = n—w 302 - 34n + 14 the Generalized Ratio Test he Alternating Series Test
3. [-/0.7 Points] DETAILS Check all boxes that make the following statement true, The series 3 =L n =1 converges absolutely converges conditionally diverges and this follows from: lim a,%0 the Generalized Ratio Test ith an appropriate p-series 4. [-/0.7 Points] DETAILS Choose all appropriate answers The series Y (-1)" "_’I’ converges conditionally converges absolutely and this follows from the Generalized Root Test he Generalized Ratio Test the Alternating Series Test comparison of Z with an appropriate p-series
5. [-/0.7 Points] DETAILS Use Theorem 9.17 to give an upper bound to the 20 truncation error for the series bound = [[NGIResponse)] [ 0.00226757369614512 6. [-/0.7 Points] DETAILS Approximate the sum of the given series with an error less than 0.001. & 1 1 1 L2 o — i — St (7~ 7 ) 7. [-/0.7 Points] DETAILS Select all the statements that must be true for a power series ) , x" whose radius of convergence is R =1 1F R = o then the power series converges for all x. 1f x = 0, then the power series converges to the number ag. If R = 0, then the power series converges for all nonpositive x. 0 <R<wm then an(g) converges. =
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9. [-/0.7 Points] DETAILS " R Find the radius R of convergence for the series Z R = [(No Response)| [ 1] 10. [-/0.8 Points] DETAILS (1+ Find the sum § of the series. R = [(No Response)] s = [(No Response)] 11. [-/0.7 Points] DETAILS Find the radius R of convergence for the series 3 _In(4” + 5) n (%) = [(No Response)] | - 4|